Determine end behavior using limit notation

The video tutorial explains how to express polynomials in standard form, which involves arranging terms in descending power order. It covers identifying the degree and leading coefficient of a polynomial, and how these affect the graph's end behavior. The tutorial also demonstrates using limit notation to describe end behavior, emphasizing the importance of understanding whether the degree is odd or even and whether the leading coefficient is positive or negative.

What is the standard form of a polynomial?

• Arranging terms by coefficient size

• Arranging terms in ascending power order

• Arranging terms in descending power order

• Arranging terms alphabetically

If a polynomial has an odd degree and a negative leading coefficient, what is its end behavior?

• Falls left and falls right

• Rises left and rises right

• Rises left and falls right

• Falls left and rises right

How does the degree of a polynomial affect its graph?

• It alters the y-intercept

• It changes the color of the graph

• It affects the end behavior of the graph

• It determines the number of x-intercepts

What does limit notation help describe in polynomial functions?

• The number of roots

• The symmetry of the graph

• The end behavior as x approaches infinity

• The maximum value of the function

When using limit notation, what does it mean if the limit of f(x) as x approaches negative infinity is positive infinity?

• The graph rises to the right

• The graph falls to the right

• The graph rises to the left

• The graph falls to the left